Asystem of equations is shown below:

y = 5x + 3
y = 4x + 6

what is the solution to the system of equations?

a) (−3, 18)
b) (−3, −18)
c) (3, −18)
d) (3, 18)

Step-by-step explanation:

f(x)=60[1/3]^x

initial value⇒ x=0, f(x) = 60*[1/3]^0 = 60*1 = 60

x=1 ⇒f(1) = 60*[1/3]

x=2 ⇒f(2) = 60*[1/3]^2 = f(1) * [1/3]

x = n ⇒ f(n) = 60*[1/3]^n=60*[1/3]^(n-1)*[1/3] = f(n-1)*[1/3]

Then, the right choice is: the graph has an initial value of 60, and each successive term is determined by multiplying by 1/3

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1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours